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Finding the Fourth Proportional to 32,000.88, 47,985.48 and 9,808.92

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Solution

The fourth proportional to 32,000.88, 47,985.48 and 9,808.92 is: 14,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.88 : 47,985.48 = 9,808.92 : x
  2. Step 2: Convert to fraction form
    32,000.88/47,985.48 = 9,808.92/x
  3. Step 3: Cross multiply
    32,000.88x = 47,985.48 × 9,808.92
  4. Step 4: Simplify right side
    32,000.88x = 470,685,734.48
  5. Step 5: Solve for x
    x = 470,685,734.48/32,000.88
  6. Step 6: Final answer
    x = 14,708.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.